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Finding the Fourth Proportional to 461,800.80, 692,701.20 and 304,207.20

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Solution

The fourth proportional to 461,800.80, 692,701.20 and 304,207.20 is: 456,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,800.80 : 692,701.20 = 304,207.20 : x
  2. Step 2: Convert to fraction form
    461,800.80/692,701.20 = 304,207.20/x
  3. Step 3: Cross multiply
    461,800.80x = 692,701.20 × 304,207.20
  4. Step 4: Simplify right side
    461,800.80x = 210,724,692,488.64
  5. Step 5: Solve for x
    x = 210,724,692,488.64/461,800.80
  6. Step 6: Final answer
    x = 456,310.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.